Bounds on the number of 2-level polytopes, cones and configurations

Samuel Fiorini, Marco Macchia, Kanstantsin Pashkovich

We prove an upper bound of the form $2^{O(d^2\mathrm{polylog}d)}$ on the number of affine (resp. linear) equivalence classes of, by increasing order of generality, 2-level d-pol…